Hi there,

Does anyone know how to prove the following...

P(E1nE2nE3nE4)=P(E1)P(E2\E1)P(E3\E2nE1)P(E4\E3nE2n E1)

apparently it can be proved by induction

Any better ideas

Thanks

Printable View

- Oct 20th 2008, 10:59 AMpartyshoesProof of product rule for sucessive joint events
Hi there,

Does anyone know how to prove the following...

P(E1nE2nE3nE4)=P(E1)P(E2\E1)P(E3\E2nE1)P(E4\E3nE2n E1)

apparently it can be proved by induction

Any better ideas

Thanks - Oct 20th 2008, 11:31 AMPlato
Let’s agree that notation wise . It makes it easier.

Basically we know that .

Consider: and let .

The we know that

That is idea you could use in an inductive proof.